Details

sample108.0ms

Algorithm

intervals

Results

55.0ms	74×	body	10240	exit
21.0ms	277×	body	80	valid
4.0ms	8×	body	640	valid
2.0ms	2×	body	1280	valid
2.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
3	23	9
done	23	9

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.6b	(log (+ 1.0 (exp x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
6×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `fma-neg` `prod-diff` `associate--l+`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `flip--`

Counts

3 → 62

Calls

3 calls:

12.0ms	(+ 1.0 (exp x))
23.0ms	(- (log (+ 1.0 (exp x))) (* x y))
10.0ms	(log (+ 1.0 (exp x)))

series212.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ 1.0 (exp x))
93.0ms	(- (log (+ 1.0 (exp x))) (* x y))
106.0ms	(log (+ 1.0 (exp x)))

simplify2.8s

Counts

71 → 71

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	105	724
1	240	686
2	761	635
3	3881	618
done	5000	614

prune451.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
1.3b	(log (sqrt (+ 1.0 (exp x))))
1.3b	(log (sqrt (+ 1.0 (exp x))))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

50×	`log-pow`
40×	`pow1`
37×	`*-un-lft-identity`
26×	`fma-neg` `prod-diff`
20×	`distribute-rgt-out`
19×	`add-sqr-sqrt` `add-cube-cbrt` `distribute-lft-out`
14×	`log-prod` `sqrt-pow1` `pow1/2`
9×	`add-log-exp`
8×	`log-div` `sqrt-div` `sqrt-prod`
6×	`add-exp-log`
5×	`flip3-+` `flip-+`
4×	`associate--l-` `expm1-log1p-u` `distribute-lft1-in` `distribute-rgt1-in` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def`
2×	`associate-+l-` `associate-+r-` `count-2` `diff-log` `rem-log-exp` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 133

Calls

4 calls:

13.0ms	(+ 1.0 (exp x))
195.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
14.0ms	(log (sqrt (+ 1.0 (exp x))))
14.0ms	(log (sqrt (+ 1.0 (exp x))))

series571.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ 1.0 (exp x))
223.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
177.0ms	(log (sqrt (+ 1.0 (exp x))))
158.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify993.0ms

Counts

145 → 145

Iterations

Useful iterations: done (986.0ms)

Iter	Nodes	Cost
0	160	2031
1	365	1730
2	1376	1462
done	5000	1409

prune650.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (+ x 2.0))
0.0b	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
8.0b	(log (fma 1/2 (pow x 2) (+ x 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
4×	`add-exp-log` `fma-neg` `prod-diff` `add-log-exp`
3×	`expm1-log1p-u` `associate--l+` `log-pow` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `fma-udef`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
14.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
2.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
105.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
79.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

simplify821.0ms

Counts

58 → 58

Iterations

Useful iterations: done (818.0ms)

Iter	Nodes	Cost
0	100	911
1	234	865
2	921	790
done	5000	757

prune374.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (log (fma 1/2 (pow x 2) (+ x 2.0))))
8.0b	(log (fma 1/2 (pow x 2) (+ x 2.0)))
8.0b	(log (fma 1/2 (pow x 2) (+ x 2.0)))
8.0b	(log (fma 1/2 (pow x 2) (+ x 2.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
4×	`cbrt-prod` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp`
1×	`pow1/3`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (log (fma 1/2 (pow x 2) (+ x 2.0))))
2.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))
2.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))
2.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

series520.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt (log (fma 1/2 (pow x 2) (+ x 2.0))))
85.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))
86.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))
88.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

simplify767.0ms

Counts

68 → 68

Iterations

Useful iterations: done (764.0ms)

Iter	Nodes	Cost
0	124	1213
1	308	1156
2	1081	1038
done	5001	978

prune527.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes113.0ms

Accuracy

0% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	12	17
done	12	17

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.3s	2497×	body	10240	exit
1.2s	8411×	body	80	valid
193.0ms	299×	body	640	valid
99.0ms	111×	body	1280	valid
58.0ms	188×	body	320	valid
21.0ms	112×	body	160	valid